Emergent Complexity
// Conway's Game of Life
Four simple rules. No plan, no controller, no randomness after the start — and yet: gliders that travel, oscillators that pulse, and patterns that grow forever. This is emergence — complex behavior arising from simple local interactions, one of the most beautiful ideas in science.
rule: a live cell survives with 2–3 neighbors · a dead cell becomes alive with exactly 3 · everything else dies
The Game of Life can simulate any computation — people have built working computers inside it, out of nothing but cells.
Every cell only knows its 8 neighbors. Global structure emerges without anyone orchestrating it — like ant colonies, markets, and brains.
Given a pattern, no algorithm can always predict whether it will die out. The only way to know the future is to run it.